Proper holomorphic immersions into Stein manifolds with the density property

In this paper we prove that every Stein manifold S admits a proper holomorphic immersion into any Stein manifold of dimension 2 dim S enjoying the density property or the volume density property.

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Bibliographic Details
Published inJournal d'analyse mathématique (Jerusalem) Vol. 139; no. 2; pp. 585 - 596
Main Author Forstnerič, Franc
Format Journal Article
LanguageEnglish
Published Jerusalem The Hebrew University Magnes Press 01.10.2019
Springer Nature B.V
Subjects
Abstract Harmonic Analysis
Analysis
Density
Dynamical Systems and Ergodic Theory
Functional Analysis
Mathematical analysis
Mathematics
Mathematics and Statistics
Partial Differential Equations
Submerging
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Summary:In this paper we prove that every Stein manifold S admits a proper holomorphic immersion into any Stein manifold of dimension 2 dim S enjoying the density property or the volume density property.
ISSN:0021-7670
1565-8538
DOI:10.1007/s11854-019-0068-9